TY  - JOUR
T1  - Maximal Subgroups of the Multiplicative Semigroup of $2\times 2$ Supertropical Matrices
AU  - Meenakshi
AU  - Devi, Pooja 
JO  - Indian Journal of Mathematics
VL  - 67
IS  - 2
SP  - 221
EP  - 252
PY  - 2025
DA  - 2026/07/09
SN  - 0019-5324
KW  - Supertropical algebra 
KW  - Semigroup
KW  - Maximal subgroup
AB  - We give a complete characterisation of Green’s relations $\mathscr{L},\mathscr{R},\mathscr{H}$, $\mathscr{D}$ and $\mathscr{J}$ in the multiplicative semigroup of $2\times 2$ supertropical matrices. We determine the maximal subgroups of the semigroup $M_2(\mathbb{T})$ by finding the $\mathscr{R}- classes$ containing idempotents, followed by the identification of $\mathscr{H}- classes$.
ER  -